Prove that x-2 is a factor of x²-x-6
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Answer:
Let's start with the original:
x
2
−
x
−
6
The way to factor something is to 2 numbers that will add up to
−
1
but multiply to
−
6
. To do that, let's think about what we need to multiply to get to
−
6
- and that is (I'll put them in a list):
(
1
⋅
−
6
)
,
(
−
1
⋅
6
)
,
(
2
⋅
−
3
)
,
(
−
2
⋅
3
)
.
If we add those up individually we get
−
5
,
5
,
−
1
,
1
So we can use the
(
2
,
−
3
)
like this
(
x
−
3
)
(
x
+
2
)
and we're done.
Step-by-step explanation:
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